- The degree of a polynomial is the highest power of the variable.
- The leading coefficient is the coefficient of the term with the highest degree.
- End behavior describes the direction of the graph as x approaches positive or negative infinity.
- For odd-degree polynomials: if the leading coefficient is positive, the graph goes down on the left and up on the right; if negative, it goes up on the left and down on the right.
- For even-degree polynomials: if the leading coefficient is positive, the graph goes up on both ends; if negative, it goes down on both ends.
- When analyzing graphs, observe the end behavior to determine the degree (odd or even) and the sign of the leading coefficient.
Parent Tip: Review the logic above to help your child master the concept of end behavior worksheet.